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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A discrete adjoint approach based on finite differences applied to topology optimization of flow problems

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Author(s):
Okubo, Carlos M. [1] ; Sa, Luis F. N. [1] ; Kiyono, Cesar Y. [1] ; Silva, Emilio C. N. [1]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Dept Mechatron & Mech Syst Engn, Escola Politecn, Av Prof Mello Moraes 2231, BR-22310550 Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING; v. 389, FEB 1 2022.
Web of Science Citations: 0
Abstract

Topology optimization methods have been vastly applied to fluid problems with different methods. In this work, the discrete adjoint (DA) approach is used in combination with a finite differences scheme to calculate the sensitivity of incompressible and compressible flow problems. The proposed methodology is especially useful for complex physical problems, where the derivation of the adjoint system can be a challenging task. The algorithm considers the finite volume model to solve the state equations, and uses an adaptive mesh refinement (AMR) scheme during the optimization to enhance the definition of the solid-fluid interface while trying to maintain a competitive computational cost. The implementation is done by using the OpenFOAM platform, which can be modified to address algorithm needs (DA and AMR). The results show an evaluation of the proposed methodology by considering traditional 2D cases of incompressible flow and exploring compressible flow cases with meshes using different cell types and 3D models. (C) 2021 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 14/50279-4 - Brasil Research Centre for Gas Innovation
Grantee:Julio Romano Meneghini
Support Opportunities: Research Grants - Research Centers in Engineering Program
FAPESP's process: 20/15230-5 - Research Centre for Greenhouse Gas Innovation - RCG2I
Grantee:Julio Romano Meneghini
Support Opportunities: Research Grants - Research Centers in Engineering Program
FAPESP's process: 19/04596-1 - Development and implementation of additive manufacturing constraints in the topology optimization software Virtual.PYXIS
Grantee:Cesar Yukishigue Kiyono
Support Opportunities: Scholarships in Brazil - Technical Training Program - Technical Training